Question

Angle ABC is a right angle. Write and solve an equation to determine the value of the variable, x. Then determine the measures of ∠ABD and ∠DBC. SHOW ALL WORK *

Answer 1

You are told that the triangle is a right triangle so you know that the angle ABC is 90 degrees. From there you can say that the edition of both expressions will be equal to 90. You use this information to create an equation as the one I showed and solve for x using distributive property, combining like terms, opposite operations and commutative property. Once you have the value of x you can substitute into each expression to find out the measurement of ABD and DBC

Answer 2

Answer:

3(x+8) + 2x -4

3x +24+ 2x -4

3x+2x+24-4

5x+20

5x +20=90

5x=90-20

5x=70

5x/5= 70/5

x=14

<ABD= 66°

3(14+8)

3× 22

=66

<DBC= 24°

2(14)-4

2×14-4

28-4

=24